The Motion of a Rigid Particle of Arbitrary Shape in an Unbounded Fluid

Abstract

In the previous chapter, formulas were developed for the resistance of axisymmetrical particles moving parallel to their symmetry axes. In such cases, symmetry requires that the hydrodynamic force on the particle be parallel to its direction of motion. Before proceeding to other cases, where it is impossible to take advantage of such symmetry, it is appropriate to investigate the effect of particle orientation on resistance in a general way. This will provide a background for using both theoretical and experimental information on the resistance of particles of more complicated shape. The development of this chapter is along the lines presented by Brenner6–13.